SOLUTION: The path of a shell fired from ground levels is in the shape of the parabola y=4x-x^2, where x and y are given in kilometers. a. How high does the shell go? b. How far has the

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Question 613392: The path of a shell fired from ground levels is in the shape of the parabola y=4x-x^2, where x and y are given in kilometers.
a. How high does the shell go?
b. How far has the shell traveled horizontally when it reaches its maximum height?
c. How far from its firing point does the shell land?

So frustrating, I cannot understand this. Any help is appreciated, thank you!

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!
 
Hi,
Might recommend downloading the FREE graph software at
http://www.padowan.dk.com
Understand you are to find a-c algebraicly, however, there is nothing
like a picture to bring understanding, my opinion.
y = -x^2 + 4x y = 0 whe x = 0 and x = 4 when y = 0 (x^2 = 4x, x = 4)
y = -(x-2)^2 + 4 Vertex form Vertex (2,4)
a. How high does the shell go? 4km
b. How far has the shell traveled horizontally when it reaches its maximum height? 2 km
c. How far from its firing point does the shell land? 4km


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